So long as we can decompose the operator (which is invariant
under changes of basis), who cares?
-8. Ensure that we can construct all algebras over both AA and RR.
-
-9. Check that our field is a subring of RLF.
+8. Check that our field is a subring of RLF.
In theory, our "field" can be any subfield of the reals::
- sage: ComplexHermitianEJA(2,AA)
+ sage: ComplexHermitianEJA(2, AA)
Euclidean Jordan algebra of dimension 4 over Algebraic Real Field
- sage: ComplexHermitianEJA(2,RR)
+ sage: ComplexHermitianEJA(2, RR)
Euclidean Jordan algebra of dimension 4 over Real Field with
53 bits of precision
sage: from mjo.eja.eja_algebra import QuaternionHermitianEJA
+ EXAMPLES:
+
+ In theory, our "field" can be any subfield of the reals::
+
+ sage: QuaternionHermitianEJA(2, AA)
+ Euclidean Jordan algebra of dimension 6 over Algebraic Real Field
+ sage: QuaternionHermitianEJA(2, RR)
+ Euclidean Jordan algebra of dimension 6 over Real Field with
+ 53 bits of precision
+
TESTS:
The dimension of this algebra is `2*n^2 - n`::